Is it permissible for someone with constant flatulence to pray more than one prayer with a single ablution, and is his prayer performed with a single ablution valid, and should he renew his ablution if he wishes to repeat a prayer in which he forgot a fard (obligatory act) or a rukn (pillar) and did not perform the prostration of forgetfulness (sujud as-sahw)?

Whoever has a continuous impurity, such as a woman with prolonged vaginal bleeding (Mustahadah) or a person with urinary incontinence (Sahib Sals al-Bawl), should perform ablution for prayer when its time enters. With that same ablution, he or she may pray as many obligatory and supererogatory prayers as desired until the time for that prayer exits. This is the madhhab (definition) of Abu Hanifa and Ahmad, and it is what Ibn Taymiyyah, Al-Buhuti, Ibn Baz, Ibn Uthaymeen, and the Permanent Committee have issued fatwas for.